A line has a slope of \( \frac{1}{8} \) and passes through the point \( (-8,7) \). What is itfs equation in point slope form? Use the specified point in your equation. Write your answer using integers, proper fraction and improper fractions. Simplify all fractions.

To write the equation of a line in point-slope form, we can use the formula \( y - y_1 = m(x - x_1) \), where \( m \) is the slope, and \( (x_1, y_1) \) is the point the line passes through. Here, \( m = \frac{1}{8} \) and the point is \( (-8, 7) \). Plugging these values into the formula gives us: \( y - 7 = \frac{1}{8}(x + 8) \). This is the equation in point-slope form! For a more fun way to visualize it, think of the line as a friendly guide on a hike, helping you navigate from the point \((-8, 7)\) at a gentle incline—approaching your destination slowly with a slope of \(\frac{1}{8}\). Each step forward along the x-axis means a tiny rise in your y position, making the journey smoother! If you want to really dig into linear equations, you might enjoy reading "How to Graph Linear Equations" by Julie Miller. It's packed with insights on slopes, intercepts, and the beauty of graphs! Alternatively, "Algebra for Dummies" includes easy-to-follow explanations that can make mastering these concepts painless and even fun!